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Simplifying 2[3 + -1(8 + -5)] + -1r = 16 + 3(2 + 3r) Combine like terms: 8 + -5 = 3 2[3 + -1(3)] + -1r = 16 + 3(2 + 3r) Multiply -1 * 3 2[3 + -3] + -1r = 16 + 3(2 + 3r) Combine like terms: 3 + -3 = 0 2[0] + -1r = 16 + 3(2 + 3r) Multiply 2 * 0 0 + -1r = 16 + 3(2 + 3r) Anything times zero is zero. 0 + -1r = 16 + 3(2 + 3r) Remove the zero: -1r = 16 + 3(2 + 3r) -1r = 16 + (2 * 3 + 3r * 3) -1r = 16 + (6 + 9r) Combine like terms: 16 + 6 = 22 -1r = 22 + 9r Solving -1r = 22 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -1r + -9r = 22 + 9r + -9r Combine like terms: -1r + -9r = -10r -10r = 22 + 9r + -9r Combine like terms: 9r + -9r = 0 -10r = 22 + 0 -10r = 22 Divide each side by '-10'. r = -2.2 Simplifying r = -2.2
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